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Finding the Fourth Proportional to 21,709, 32,540.80 and 10,029.88

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Solution

The fourth proportional to 21,709, 32,540.80 and 10,029.88 is: 15,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709 : 32,540.80 = 10,029.88 : x
  2. Step 2: Convert to fraction form
    21,709/32,540.80 = 10,029.88/x
  3. Step 3: Cross multiply
    21,709x = 32,540.80 × 10,029.88
  4. Step 4: Simplify right side
    21,709x = 326,380,319.10
  5. Step 5: Solve for x
    x = 326,380,319.10/21,709
  6. Step 6: Final answer
    x = 15,034.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.